Olympus High Mathematics - Lecture Notes

1.1 Lines and Increments.pdf

1.1 Lines and Increments.pdf

2.4b inst rate of change.pdf

2.1b Sandwich Theorem.pdf

2.3 continuityu.pdf

3.1a derivative as a function.pdf

3.1b Numerical Derivatives.pdf

3.2 Differentiability.pdf

3.3a power rule.pdf

3.4 a position, velocity, acceleration.pdf

3.4b Other rates of change.pdf

3.5 der of trig functions.pdf

3.6a chain rule.pdf

3.6b more chain rule.pdf

3.7a Implicit Diff.pdf

3.7b more implicit diff.pdf

3.8 Der of Inv Trig.pdf

3.9 a der of exp functions.pdf

3.9b Der of Logarithms.pdf

Ch 3 Review Derivatives.pdf

4.1 max and min.pdf

4.3 y y', y''.pdf

4.4a max min.pdf

4.4b more max min.pdf

4.4c even more max min.pdf

4.5 Linearizations and differentials.pdf

4.6a Related Rates.pdf

4.6b more related rates.pdf

5.1b area with spreadsheets.pdf

5.2 definite integral.pdf

5.3 Definite Integrals and Antiderivatives.pdf

5.3 b MVT for Integrals.pdf

5.4b proof of FTC.pdf

5.5 Trapezoidal Rule.pdf

ch 5 review notes.pdf

6.1 Differential Equations & Slope Fields.pdf

6.2 U-Substitutions.pdf

6.4b Newton's Law of Cooling.pdf

6.5 Logistic Growth.pdf

7.1 definite integral of a rate of change.pdf

7.2 area between two curves.pdf

7.3 a Volumes.pdf

7.3b Volumes.pdf

7.4 arclength.pdf

7.5a Applications.pdf

7.5b more applications.pdf

8.1 Sequences.pdf

8.2 L'hopital's Rule.pdf

8.3 Relative Rates of Growth.pdf

8.4a Improper Integrals.pdf

9.1 power series.pdf

9.2b Taylor Series.pdf

9.3a Taylor Series.pdf

9.5a Integral, Limit Comparison Tests.pdf

9.5b Alternating Series.pdf

ch 9 review notes.pdf

10.1 parametric curves.pdf

10.2 Vector Functions.pdf

10.3 Polar Functions.pdf

Review 2 Continuity.pdf

Review 3 Differentiability.pdf

Review 4 Derivatives.pdf

Review 5 Tangent Lines & Linear Approximations.pdf

Review 6 Ave and Inst Rates of Change.pdf

rev 10 optimization.pdf

Review 11 Related Rates.pdf

review 12 slopefields.pdf

Review 13 Riemann Sums, Trap Rule.pdf

Review 14 Methods of Integration.pdf

Review 15 FTC.pdf

Review 16 Differential Equations.pdf

rev 18 position, velocity, acceleration.pdf

Review 20 Volumes.pdf

rev 21 Properties of def integrals, ave value of a function.pdf

Rev 22 Accumulation Functions.pdf

Review 24 Improper Integrals.pdf

review 25 taylor series.pdf

Rev 26 tests for convergence.pdf

Review 27 Parametric Equations.pdf

Review 29 Polar Functions.pdf